Details

sample180.0ms

Algorithm

intervals

Results

150.0ms

729×

body

valid

simplify957.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2058
3	646
2	181
1	54
0	18

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- a (* a a))
0.1b	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.4b	(* (+ a 3) (* b b))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/` `fma-udef`
1×	`sub-neg` `flip3-+` `flip3--` `distribute-rgt-out--` `diff-log` `associate-r` `*-commutative` `flip-+` `flip--` `distribute-lft-out` `difference-of-squares` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

10.0ms	(- a (* a a))
0.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
27.0ms	(* (+ a 3) (* b b))

series261.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- a (* a a))
79.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
81.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
52.0ms	(* (+ a 3) (* b b))

simplify1.6s

Counts

82 → 82

Iterations

Iter	Nodes
3	3966
2	960
1	286
0	122

prune897.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.4b	(* (+ a 3) (* b b))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
59.0ms	(* (+ a 3) (* b b))

series361.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
112.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
102.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
47.0ms	(* (+ a 3) (* b b))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
3	2871
2	632
1	182
0	71

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize102.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.4b	(* (+ a 3) (* b b))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
26.0ms	(* (+ a 3) (* b b))

series366.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
109.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
74.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
60.0ms	(* (+ a 3) (* b b))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
3	2871
2	632
1	182
0	71

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ 3 a) (* b b)) (* a (* a a)))
0.1b	(* a (* a a))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.4b	(* (+ 3 a) (* b b))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`associate-l`
6×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow2` `sub-neg` `flip3-+` `pow-plus` `flip3--` `fma-neg` `diff-log` `cube-unmult` `prod-diff` `pow-sqr` `flip-+` `fma-udef` `flip--` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

44.0ms	(- (* (+ 3 a) (* b b)) (* a (* a a)))
16.0ms	(* a (* a a))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
38.0ms	(* (+ 3 a) (* b b))

series232.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* (+ 3 a) (* b b)) (* a (* a a)))
36.0ms	(* a (* a a))
93.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
58.0ms	(* (+ 3 a) (* b b))

simplify2.2s

Counts

92 → 92

Iterations

Iter	Nodes
3	4546
2	986
1	312
0	130

prune942.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.1b

regimes289.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	16
1	16
0	14

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.2s

20501×

body

valid